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Finding the Third Proportional to 2,009 and 3,784

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Solution

The third proportional to 2,009 and 3,784 is: 7,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 3,784 = 3,784 : x
  2. Step 2: Convert to fraction form
    2,009/3,784 = 3,784/x
  3. Step 3: Cross multiply
    2,009x = 3,784 × 3,784
  4. Step 4: Simplify right side
    2,009x = 14,318,656
  5. Step 5: Solve for x
    x = 14,318,656/2,009
  6. Step 6: Final answer
    x = 7,127.26

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.